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Publications de l'Institut Mathématique.
Article . 2016 . Peer-reviewed
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Umbral interpolation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique, volume 99, pages 165-175 (issn: 0350-1302, eissn: 1820-7405, Copyright policy )
Authors: Costabile, Francesco; Longo, Elisabetta;

doi: 10.2298/pim1613165c

Umbral interpolation

Abstract

A general linear interpolation problem is posed and solved. This problem is called umbral interpolation problem because its solution can be expressed by a basis of Sheffer polynomials. The truncation error and its bounds are considered. Some examples are discussed, in particular generalizations of Abel-Gontscharoff and central interpolation are studied. Numerical examples are given too.

Related Organizations
Keywords

Numerical interpolation, Sheffer polynomials, Umbral calculus, umbral calculus, Interpolation in approximation theory, interpolation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Top 10%
Green
gold